Question

In triangle ABC, AD is perpendicular to BC, angle A = 90. D is the interior point on BC. AC = 15 cm and DB = 16 cm then area of triangle ABC is _______

Answer 1

Answer:

Step-by-step explanation:

Ans

Step-by-step explanation:

In triangle ABC and ADE

/_A =/_A ( common)

/_D=/_E ( 90*)

BY AA criteria , ABC ~ ADE

NOW,

AC^2 + BC^2= AB^2

(5)^2 + (12)^2= AB^2

25+144= AB^2

169= AB^2

AB =13

AC/AE =AB/AD = BC/ED

5/AE= 13/3= 12/ED

AE=13/15

ED = 36/13